%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN397+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:51:50 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN397+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 03:09:59 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem kalish204 : ((~(exists X : zenon_U, (f X)))<->(forall Y : zenon_U, (~(f Y)))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H4; zenon_intro zenon_H3 | zenon_intro zenon_H2; zenon_intro zenon_H1 ]. % 0.19/0.49 apply zenon_H4. zenon_intro zenon_H5. % 0.19/0.49 elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7. % 0.19/0.49 generalize (zenon_H3 zenon_TX_g). zenon_intro zenon_H8. % 0.19/0.49 exact (zenon_H8 zenon_H7). % 0.19/0.49 apply (zenon_notallex_s (fun Y : zenon_U => (~(f Y))) zenon_H1); [ zenon_intro zenon_H9; idtac ]. % 0.19/0.49 elim zenon_H9. zenon_intro zenon_TY_k. zenon_intro zenon_Hb. % 0.19/0.49 apply zenon_Hb. zenon_intro zenon_Hc. % 0.19/0.49 apply zenon_H2. exists zenon_TY_k. apply NNPP. zenon_intro zenon_Hd. % 0.19/0.49 exact (zenon_Hd zenon_Hc). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 14 % 0.19/0.49 max branch formulas: 9 % 0.19/0.49 proof nodes created: 9 % 0.19/0.49 formulas created: 96 % 0.19/0.49 %------------------------------------------------------------------------------